Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

to solve x^2+7x=0 Mai rewrote the equation as x(x+7)=0. Explain how rewriting this equation in factored form enables Mai to solve the equation.

Sagot :

amysun2025

Answer:

See below

Step-by-step explanation:

Hi there!

Mai was given the equation x²+7x=0, and rewrote it as x(x+7)=0 to help solve it

Rewriting the equation in this way helps Mai solve the equation is because it helps make sure none of the answers are missing.

If you look at the equation x²+7x=0, you might think that you are able to divide both sides by x, and then solve x+7=0.

However, this method is incorrect.

The answer to x+7=0 would be x=-7, which if you plug -7 as x into the equation, it would show that it is a correct answer, but it is not the only correct answer.

If you plugged 0 into the equation as well, here is what would happen:

(0)²+7(0)=0

Raise 0 to the second power and multiply 7 by 0

0 + 0 = 0

Add the numbers together

0=0

As you can see, x=0 is also a correct answer to the equation.

However, if you had divided x from both sides, you wouldn't have been able to find that x can also equal 0.

If we factored the equation as Mai did it, x(x+7)=0, then by zero product property, x would equal both 0 and 7

As you can see, both answers are there if we had factored it Mai's way, and  none of the answers are missing.

Hope this helps!

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.